n/k          1          2          3          4          5          6          7          8          9         10         11         12 
----------------------------------------------------------------------------------------------------------------------------------------
  1          1          0          0          0          0          0          0          0          0          0          0          0 
  2          2          1          0          0          0          0          0          0          0          0          0          0 
  3          6          6          1          0          0          0          0          0          0          0          0          0 
  4         24         36         12          1          0          0          0          0          0          0          0          0 
  5        120        240        120         20          1          0          0          0          0          0          0          0 
  6        720       1800       1200        300         30          1          0          0          0          0          0          0 
  7       5040      15120      12600       4200        630         42          1          0          0          0          0          0 
  8      40320     141120     141120      58800      11760       1176         56          1          0          0          0          0 
  9     362880    1451520    1693440     846720     211680      28224       2016         72          1          0          0          0 
 10    3628800   16329600   21772800   12700800    3810240     635040      60480       3240         90          1          0          0 
 11   39916800  199584000  299376000  199584000   69854400   13970880    1663200     118800       4950        110          1          0 
 12  479001600 2634508800 4390848000 3293136000 1317254400  307359360   43908480    3920400     217800       7260        132          1